- linear transformation group
- группа линейных преобразований
English-russian dictionary of physics. 2013.
linear transformation group
Смотреть что такое "linear transformation group" в других словарях:
Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… … Wikipedia
Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… … Wikipedia
Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… … Wikipedia
Group representation — In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group… … Wikipedia
Transformation (function) — In mathematics, a transformation could be any function mapping a set X on to another set or on to itself. However, often the set X has some additional algebraic or geometric structure and the term transformation refers to a function from X to… … Wikipedia
Transformation (geometry) — In mathematics, a transformation could be any function from a set X to itself. However, often the set X has some additional algebraic or geometric structure and the term transformation refers to a function from X to itself which preserves this… … Wikipedia
transformation — transformational, adj. /trans feuhr may sheuhn/, n. 1. the act or process of transforming. 2. the state of being transformed. 3. change in form, appearance, nature, or character. 4. Theat. a seemingly miraculous change in the appearance of… … Universalium
Linear (disambiguation) — Definition: The word linear comes from the Latin word linearis, which means created by lines. Usage in mathematics: * Linear, a property; * Linear code; * Linear equation; * Linear function; * Linear programming, a type of optimization problem; * … Wikipedia
Linear regression — Example of simple linear regression, which has one independent variable In statistics, linear regression is an approach to modeling the relationship between a scalar variable y and one or more explanatory variables denoted X. The case of one… … Wikipedia
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
Linear — The word linear comes from the Latin word linearis , which means created by lines .In advanced mathematics, a linear map or function f ( x ) is a function which satisfies the following two properties:* Additivity (also called the superposition… … Wikipedia
